I feel like you hit a borderline-pathological case for the noise reducer with that image. It hasn't just blurred the cross-hatching (? is that what those patterned lines are called?), its completely removed it.

I tried it with just upscaling and no noise reduction, and the result is about what you'd about: a really nice upscale, perfectly preserving all those patterns (as well as the noise, unfortunately). Doing that and filtering in another program might work better.